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Nonlinear Differential Equations of Monotone Types in Banach Spaces

Nonlinear Differential Equations of Monotone Types in Banach Spaces
Catalogue Information
Field name Details
Dewey Class 515.353
Title Nonlinear Differential Equations of Monotone Types in Banach Spaces (EB) / by Viorel Barbu.
Author Barbu, Viorel
Other name(s) SpringerLink (Online service)
Publication New York, NY : Springer , 2010.
Physical Details X, 272 pages : online resource.
Series Springer monographs in mathematics 1439-7382
ISBN 9781441955425
Summary Note This book is concerned with basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. This is a monograph about the most significant results obtained in this area in last decades but is also written as a graduate textbook on modern methods in partial differential equations with main emphasis on applications to fundamental mathematical models of mathematical physics, fluid dynamics and mechanics. This book is selfcontained while the prerequisites in functional analysis are necessary to understand as it is being presented in a preliminary chapter. An up-to-date list of references and extended comments are included.:
Contents note Fundamental Functional Analysis -- Maximal Monotone Operators in Banach Spaces -- Accretive Nonlinear Operators in Banach Spaces -- The Cauchy Problem in Banach Spaces -- Existence Theory of Nonlinear Dissipative Dynamics.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
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